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JEE Main201911 Jan 2019Evening ShiftPhysicsThermal Properties of MatterActual

A thermometer graduated according to a linear scale reads a value x₀ when in contact with boiling water, and x₀ / 3 when in contact with ice. What is the temperature of an object in ^ C , if this thermometer in the contact with the object reads x₀ / 2 ?

Options

  1. A25
  2. B60
  3. C40
  4. D35

Correct answer

A. 25

Step-by-step solution

Let required temperature = T ^ C T ^ C = x ₀ 2 - x ₀ 3 = x ₀ 6 & ( x ₀- x ₀ 3 )= (100-0^ C ) 2 x ₀ 3 =100 x ₀= 300 2 T ^ C = x ₀ 6 = 150 6 =25^ C

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